Differential Inclusions and Optimal Control

Idioma: inglés

Editorial: PWN + Kluwer Academic, 1991

8301095822 / 9788301095826

Librería: killarneybooks, Inagh, Clare, Irlandakillarneybooks

Vendedor de 5 estrellas

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Descripción del artículo del vendedor

Hardcover, xv + 240 pages, NOT ex-library. Clean untanned pages, unmarked text, free of inscriptions and stamps, firmly bound. Boards show gentle shelfworn marks, a small closed edge-nick to the upper spine. Issued without a dust jacket. -- Many phenomena in mathematical economics, mathematical biology, physical mathematics and engineering may be modelled by a system of functional-differential equations where the past exerts its influence in a significant manner upon the future. They lead, in connection with some optimal control problems, to functional-differential inclusions. The present book is devoted to the investigation of the properties of functional-differential inclusions of the form [x dot](t) [is an element of] F(t,[x subscript t],[x dot subscript t]). Besides the existence theorems, the book is concerned with basic problems of optimal control theory, such as viability, controllability and existence bf optimal trajectories for the systems described by the functional-differential inclusions of the above type. Its main topics are: - continuities and measurability concepts of set-valued maps; - measurable and continuous selection theorems; - some properties of Aumann intergrable set-valued functions; - subtrajectory and trajectory integrals of "sigma"-selectionable set-valued functions; - relaxation and viability theorems; - existence theorems for neutral functional-differential inclusions; - compactness and upper semicontinuity of the set solutions; - controllability theorems; - some optimal problems for the systems described by neutral functional-differential inclusions. -- Contents: 1 Preliminaries [Set Theory and Topological Preliminaries; Functional Analysis Preliminaries; Vector Measures and Vector-Valued Functions; Special Spaces and Fixed Point Theorems; Notes and Remarks]; 2 Set-Valued Functions [Spaces of Subsets of Metric Space; Continuity Concepts; Measurable Set-Valued Functions and Aumann's Integral; Continuous Selections and Multivalued Fixed Point Theorems; Notes and Remarks]; 3. Subtrajectory and Trajectory Integrals of Set-Valued Functions [Fundamental Space of Aumann Integrable Set-Valued Functions; Subtrajectory and Trajectory Integrals of Set-Valued Functions; Fixed Point Properties of Subtrajectory and Trajectory Integrals Depending on Parameters; Subtrajectory and Trajectory Integrals of [] Selectionable Set-Valued Functions; Relaxation Theorems; Viability Theorems; Notes and Remarks]; 4. Neutral Functional-Differential Inclusions [Neutral Functional-Differential Equations and Fundamental Problems in Optimal Control Theory of Systems Described by NFDEs; Neutral Functional-Differential Inclusions; Properties of Sets of Solutions of NFDIs; Controllability Theorems for NFDIs with Convex-Valued Functions; Relaxation Theorem for Attainable Sets; Notes and Remarks]; 5. Optimal Control Problems for Systems Described by NFDIs [Existence Theorems; Attainable Trajectories with Minimal Selection Property; Notes and Remarks]; Bibliography; Index.…

N° de ref. del artículo 004059

Título
Differential Inclusions and Optimal Control
Autor
Michal Kisielewicz
Editorial
PWN + Kluwer Academic
Año de publicación
1991
Estado
Very Good
Encuadernación
Hardcover
Idioma
inglés
ISBN 10
8301095822
ISBN 13
9788301095826

killarneybooks

Inagh, Clare, Irlanda

Vendedor de 5 estrellas

Vendedor de IberLibro desde 20 de abril de 2017

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ArtículoDe 6 a 7 días hábilesDe 3 a 4 días hábiles
Primer artículoEUR 33,70EUR 38,00
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All U.S.-bound orders are now shipped with UPS for reliable delivery. Additional customs or import fees are highly unlikely; however, please note buyers remain responsible for any duties or taxes that U.S. Customs may assess. -- Killarneybooks is a family-run bookshop based in the Republic of Ireland. We take pride in accurate listings, careful packaging, and prompt service - most orders ship within 24 hours. All books listed are in stock and ready for immediate dispatch - we are not dropshippers. Inquiries always welcome.…

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